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Finding the Fourth Proportional to 974.78, 1,345.32 and 576.54

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Solution

The fourth proportional to 974.78, 1,345.32 and 576.54 is: 795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.78 : 1,345.32 = 576.54 : x
  2. Step 2: Convert to fraction form
    974.78/1,345.32 = 576.54/x
  3. Step 3: Cross multiply
    974.78x = 1,345.32 × 576.54
  4. Step 4: Simplify right side
    974.78x = 775,630.79
  5. Step 5: Solve for x
    x = 775,630.79/974.78
  6. Step 6: Final answer
    x = 795.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.